Nebraska State Standards for Mathematics: Grade 7

NE.MA 7.1. Students will communicate number sense concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

MA 7.1.1. Number System: Students will represent and show relationships among rational numbers.

MA 7.1.1.a. Show equivalence among fractions, decimals, and percents

MA 7.1.1.b. Compare and order rational numbers (e.g., fractions, decimals, percents)

MA 7.1.1.c. Represent large numbers using scientific notation

MA 7.1.1.d. Classify numbers as natural, whole, integer, or rational

MA 7.1.1.e. Find least common multiple and greatest common divisor given two numbers

MA 7.1.2. Operations: Students will demonstrate the meaning of arithmetic operations with positive fractions, decimals, and integers.

MA 7.1.2.a. Use drawings, words, and symbols to explain the meaning of multiplication and division of fractions (e.g., 2/3 x 6 as two-thirds of six, or 6 x 2/3 as 6 groups of two-thirds, or 6 / 2/3 as how many two-thirds there are in six.)

MA 7.1.2.b. Use drawings, words, and symbols to explain the meaning of multiplication and division of decimals

MA 7.1.2.c. Use drawings, words, and symbols to explain the addition and subtraction of integers

MA 7.1.3. Computation: Students will compute fluently and accurately using appropriate strategies and tools.

MA 7.1.3.a. Compute accurately with integers

MA 7.1.3.b. Select, apply, and explain the method of computation when problem solving using integers and positive rational numbers (e.g., models, mental computation, paper-pencil, technology, divisibility rules)

MA 7.1.3.c. Solve problems involving percent of numbers (e.g., percent of, % increase, % decrease)

MA 7.1.4. Estimation: Students will estimate and check reasonableness of answers using appropriate strategies and tools.

MA 7.1.4.a. Use estimation methods to check the reasonableness of solutions for problems involving integers and positive rational numbers

NE.MA 7.2. Students will communicate geometric concepts and measurement concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

MA 7.2.1. Characteristics: Students will describe, compare, and contrast characteristics, properties, and relationships of geometric shapes and objects.

MA 7.2.1.a. Identify and describe similarity of two-dimensional shapes using side and angle measurements

MA 7.2.1.b. Name line, line segment, ray, and angle

MA 7.2.2. Coordinate Geometry: Students will specify locations and describe relationships using coordinate geometry.

MA 7.2.2.a. Plot the location of an ordered pair in the coordinate plane

MA 7.2.2.b. Identify the quadrant of a given point in the coordinate plane

MA 7.2.2.c. Find the distance between points along horizontal and vertical lines of a coordinate plane (e.g., what is the distance between (0, 3) and (0, 9))

MA 7.2.3. Transformations: Students will use transformations and symmetry to analyze geometric shapes.

MA 7.2.3.a. Identify lines of symmetry for a reflection

MA 7.2.3.b. Perform and describe positions and orientation of shapes under a single transformation (e.g., translation, rotation, reflection) on a coordinate plane

MA 7.2.4. Spatial Modeling: Students will use visualization to create geometric models in solving problems.

MA 7.2.4.a. Identify the shapes that make up the three-dimensional object

MA 7.2.4.b. Create two-dimensional representations of three-dimensional objects to visualize and solve problems (e.g., perspective drawing of surface area)

MA 7.2.4.c. Draw angles to given degree

MA 7.2.5. Measurement: Students will select and apply appropriate procedures, tools, and formulas to determine measurements.

MA 7.2.5.a. Measure angles to the nearest degree

MA 7.2.5.b. Determine the area of trapezoids and circles, and the circumference of circles

MA 7.2.5.c. Recognize the inverse relationship between the size of a unit and the number of units used when measuring

NE.MA 7.3. Students will communicate algebraic concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

MA 7.3.1. Relationships: Students will represent and analyze relationships using algebraic symbols.

MA 7.3.1.a. Describe and create algebraic expressions from words, tables, and graphs

MA 7.3.1.b. Use a variable to describe a situation with an inequality (e.g., one-step, one variable)

MA 7.3.1.c. Recognize and generate equivalent forms of simple algebraic expressions

MA 7.3.2. Modeling in Context: Students will create, use, and interpret models of quantitative relationships.

MA 7.3.2.a. Model contextualized problems using various representations (e.g., one-step/variable expressions, one-step/variable equations)

MA 7.3.2.b. Represent a variety of quantitative relationships using algebraic expressions and one-step equations

MA 7.3.3. Procedures: Students will apply properties to solve equations and inequalities.

MA 7.3.3.a. Explain additive inverse of addition (e.g., 7 + -7 = 0)

MA 7.3.3.b. Use symbolic representation of the distributive property (e.g., 2(x + 3) = 2x + 6)

MA 7.3.3.c. Given the value of the variable(s), evaluate algebraic expressions with respect to order of operations

MA 7.3.3.d. Solve two-step equations involving integers and positive rational numbers

MA 7.3.3.e. Solve one-step inequalities involving positive rational numbers

MA 7.3.3.f. Identify and explain the properties used in solving two-step equations (e.g., addition, subtraction, multiplication and division)

NE.MA 7.4. Students will communicate data analysis/probability concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

MA 7.4.1. Display and Analysis: Students will formulate questions that can be addressed with data and then organize, display, and analyze the relevant data to answer their questions.

MA 7.4.1.a. Analyze data sets and interpret their graphical representations

MA 7.4.1.b. Find and interpret mean, median, mode, and range for sets of data

MA 7.4.1.c. Explain the difference between a population and a sample

MA 7.4.1.d. List biases that may be created by various data collection processes

MA 7.4.1.e. Formulate a question about a characteristic within one population that can be answered by simulation or a survey

MA 7.4.2. Predictions and Inferences: Students will evaluate predictions and make inferences based on data.

MA 7.4.2.a. Determine if data collected from a sample can be used to make predictions about a population

MA 7.4.3. Probability: Students will apply and interpret basic concepts of probability.

MA 7.4.3.a. Find the probability of independent compound events (e.g., tree diagram, organized list)

MA 7.4.3.b. Compare and contrast theoretical and experimental probabilities